Search a number
-
+
13321002213312 = 263193651590519
BaseRepresentation
bin1100000111011000100110…
…0110101101111111000000
31202011110211112210112110220
43001312021212231333000
53221222403031311222
644155330044023040
72543260565400453
oct301661146557700
952143745715426
1013321002213312
114276450520782
1215b1848831a80
1375821b9c5381
14340a505b549a
1518179aa7db5c
hexc1d899adfc0

13321002213312 has 56 divisors (see below), whose sum is σ = 37100159683200. Its totient is φ = 4206632276736.

The previous prime is 13321002213301. The next prime is 13321002213349. The reversal of 13321002213312 is 21331220012331.

13321002213312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825791612 + ... + 1825798907.

Almost surely, 213321002213312 is an apocalyptic number.

13321002213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13321002213312 is an abundant number, since it is smaller than the sum of its proper divisors (23779157469888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13321002213312 is a wasteful number, since it uses less digits than its factorization.

13321002213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651590553 (or 3651590543 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13321002213312 its reverse (21331220012331), we get a palindrome (34652222225643).

The spelling of 13321002213312 in words is "thirteen trillion, three hundred twenty-one billion, two million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 3651590519 7303181038 10954771557 14606362076 21909543114 29212724152 43819086228 58425448304 69380219861 87638172456 116850896608 138760439722 175276344912 208140659583 233701793216 277520879444 350552689824 416281319166 555041758888 701105379648 832562638332 1110083517776 1665125276664 2220167035552 3330250553328 4440334071104 6660501106656 13321002213312